Question #158219

The area

of an equilateral triangle is 9 √3

square feet. Find a side of the triangle.



1
Expert's answer
2021-02-02T05:00:14-0500

Let a=a= the side of the equilateral triangle. Then


A=a234A=\dfrac{a^2\sqrt{3}}{4}

Given Area=93 ft2.Area=9\sqrt{3}\ ft^2.


a234=93,a>0\dfrac{a^2\sqrt{3}}{4}=9\sqrt{3}, a>0

a2=36a^2=36

a=6a=6

The side of the given equilateral triangle is 6 foot.



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